RUS  ENG
Full version
JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2011 Volume 17, Number 3, Pages 233–241 (Mi timm735)

This article is cited in 4 papers

Independence of error estimates of interpolation by cubic polynomials from the angles of a triangle

N. V. Latypova

Udmurt State University

Abstract: We consider two methods of Birkhoff interpolation of a function of two variables by cubic polynomials on a triangle for the finite element method. Error estimates for the proposed cubic elements depend only on the diameter of the partition and do not depend on the angles of triangulation. We show that the obtained estimates cannot be improved.

Keywords: error of interpolation, piecewise cubic polynomial, triangulation, finite element method.

UDC: 517.518

Received: 04.03.2011



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025